What is the Greatest Common Factor of 73409 and 73414?

Greatest common factor (GCF) of 73409 and 73414 is 1.

GCF(73409,73414) = 1

We will now calculate the prime factors of 73409 and 73414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73409 and 73414.

How to find the GCF of 73409 and 73414?

We will first find the prime factorization of 73409 and 73414. After we will calculate the factors of 73409 and 73414 and find the biggest common factor number .

Step-1: Prime Factorization of 73409

Prime factors of 73409 are 7, 10487. Prime factorization of 73409 in exponential form is:

73409 = 7¹ × 10487¹

Step-2: Prime Factorization of 73414

Prime factors of 73414 are 2, 11, 47, 71. Prime factorization of 73414 in exponential form is:

73414 = 2¹ × 11¹ × 47¹ × 71¹

Step-3: Factors of 73409

List of positive integer factors of 73409 that divides 73409 without a remainder.

1, 7, 10487

Step-4: Factors of 73414

List of positive integer factors of 73414 that divides 73409 without a remainder.

1, 2, 11, 22, 47, 71, 94, 142, 517, 781, 1034, 1562, 3337, 6674, 36707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73409 and 73414. The biggest common factor number is the GCF number.
So the greatest common factor 73409 and 73414 is 1.

Also check out the Least Common Multiple of 73409 and 73414